commute_rtd.cc
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#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "cosinus_vector.h"
int main(int argc, char**argv) {
environment rheolef (argc, argv);
geo omega (argv[1]);
size_t d = omega.dimension(),
k = (argc > 2) ? atoi(argv[2]) : 0;
space Vh (omega, "RT"+itos(k)+"d"),
Lh (omega, "P" +itos(k)+"d"),
Xh = Vh*Lh;
trial x (Xh); test y (Xh);
auto u = x[0], lambda = x[1];
auto v = y[0], mu = y[1];
integrate_option iopt;
iopt.invert = true;
form inv_a = integrate (dot(u,v) + div_h(v)*lambda + div_h(u)*mu, iopt);
field lh = integrate (dot(u_exact(d),v) + div_u_exact(d)*mu),
xh = inv_a*lh,
p_Vh_u = xh[0],
pi_h_u = interpolate(Vh,u_exact(d));
dout << catchmark("p_Vh_u") << p_Vh_u
<< catchmark("pi_h_u") << pi_h_u;
}
lh
field lh(Float epsilon, Float t, const test &v)
Definition: burgers_diffusion_operators.icc:25
field
see the field page for the full documentation
form
see the form page for the full documentation
geo
see the geo page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition: integrate_option.h:125
rheolef::integrate_option::invert
bool invert
Definition: integrate_option.h:168
rheolef::std
Definition: vec_expr_v2.h:402
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
main
int main(int argc, char **argv)
Definition: commute_rtd.cc:29
cosinus_vector.h
The cosinus vector function.
mkgeo_ball.d
int d
Definition: mkgeo_ball.sh:154
mkgeo_contraction.mu
mu
Definition: mkgeo_contraction.sh:193
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::div_h
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::divergence >>::type div_h(const Expr &expr)
div_h(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:1069
rheolef::dot
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
dot(x,y): see the expression page for the full documentation
Definition: vec_expr_v2.h:415
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:202
rheolef::interpolate
field_basic< T, M > interpolate(const space_basic< T, M > &V2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition: interpolate.cc:233
rheolef::itos
std::string itos(std::string::size_type i)
itos: see the rheostream page for the full documentation
rheolef.h
rheolef - reference manual
div_u_exact
Definition: cosinus_vector.h:31
lambda
Definition: yield_slip_circle.h:34
u
Definition: leveque.h:25
u_exact
g u_exact
Definition: taylor_exact.h:26